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Finding the Fourth Proportional to 30,259.80, 41,758.14 and 16,831

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Solution

The fourth proportional to 30,259.80, 41,758.14 and 16,831 is: 23,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.80 : 41,758.14 = 16,831 : x
  2. Step 2: Convert to fraction form
    30,259.80/41,758.14 = 16,831/x
  3. Step 3: Cross multiply
    30,259.80x = 41,758.14 × 16,831
  4. Step 4: Simplify right side
    30,259.80x = 702,831,254.34
  5. Step 5: Solve for x
    x = 702,831,254.34/30,259.80
  6. Step 6: Final answer
    x = 23,226.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.